Atkin-Lehner |
2+ 11- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
103246f |
Isogeny class |
Conductor |
103246 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
10737584 = 24 · 11 · 132 · 192 |
Discriminant |
Eigenvalues |
2+ 0 -3 5 11- 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-191,1053] |
[a1,a2,a3,a4,a6] |
Generators |
[2:25:1] |
Generators of the group modulo torsion |
j |
2140893153/29744 |
j-invariant |
L |
4.1084708952319 |
L(r)(E,1)/r! |
Ω |
2.2851577074908 |
Real period |
R |
0.44947345328049 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999779144 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103246s1 |
Quadratic twists by: -19 |